Factors of 100

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What are the Factors of 100?

Answer

Factors of 100:
1, 2, 4, 5, 10, 20, 25, 50, 100

9 factors · 100 = 22 × 52 · composite

Underlined — prime: 2, 5 · 1 — neither prime nor composite · others — composite

Factor pairs of 100

√100 = 10124510202550100

5 pairs: 1 × 100 · 2 × 50 · 4 × 25 · 5 × 20 · 10 × 10

10 × 10 is a pair of one factor — that is why 100 has an odd number of factors, 9.

100 = 22 × 52 → (2 + 1) × (2 + 1) = 9 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
851, 5, 17, 85
861, 2, 43, 86
871, 3, 29, 87
881, 2, 4, 8, 11, 22, 44, 88
891, 89
901, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
911, 7, 13, 91
921, 2, 4, 23, 46, 92
931, 3, 31, 93
941, 2, 47, 94
951, 5, 19, 95
961, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
971, 97
981, 2, 7, 14, 49, 98
991, 3, 9, 11, 33, 99
1001, 2, 4, 5, 10, 20, 25, 50, 100
1011, 101
1021, 2, 3, 6, 17, 34, 51, 102
1031, 103
1041, 2, 4, 8, 13, 26, 52, 104
1051, 3, 5, 7, 15, 21, 35, 105
1061, 2, 53, 106
1071, 107
1081, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1091, 109
1101, 2, 5, 10, 11, 22, 55, 110
1111, 3, 37, 111
1121, 2, 4, 7, 8, 14, 16, 28, 56, 112
1131, 113
1141, 2, 3, 6, 19, 38, 57, 114

FAQ

What are the Factors of 100?

Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

How many factors does 100 have?

Number 100 has 9 factors

How many Factor Pairs does 100 have?

Number 100 has 5 factor pairs

Is 100 a prime or composite number?

Composite: 100 = 2² × 5², so it has 9 factors — a prime has exactly two.

How many factors does 100 have excluding 1 and 100?

7: 2, 4, 5, 10, 20, 25 and 50.

Why does 100 have an odd number of factors?

100 is a perfect square: in the pair 10 × 10 the factor 10 pairs with itself, so the 9 factors are 4 pairs plus 10.

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